Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
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Article Citation - WoS: 1Citation - Scopus: 2Solutions of Massless Conformal Scalar Field in an N-Dimensional Einstein Space(Jagiellonian Univ Press, 2008) Muslih, Sami I.; Baleanu, Dumitru; Baleanu, Dumitru; Rabei, Eqab M.; MatematikIn this paper the wave equation for massless conformal scalar field in an Einstein's n-dimensional universe is solved and the eigen frequencies are obtained. The special case for alpha = 4 is recovered and the results are in exact agreement with those obtained in literature.Article Citation - WoS: 9Non-Polynomial Third Order Equations Which Pass the Painleve Test(Walter de Gruyter Gmbh, 2004) Mugan, U; Jarad, Fahd; Jarad, F; MatematikThe singular point analysis of third-order ordinary differential equations in the non-polynomial class is presented. Some new third order ordinary differential equations which pass the Painleve test, as well as the known ones are found.Article Citation - WoS: 3Citation - Scopus: 3The Property of Smallness Up To a Complemented Banach Subspace(Kossuth Lajos Tudomanyegyetem, 2004) Abdeljawad, T; Abdeljawad, Thabet; Yurdakul, M; MatematikThis article investigates locally convex spaces which satisfy the property of smallness up to a complemented Banach subspace, the SCBS property, which was introduced by Djakov, Terzioglu, Yurdakul and Zahariuta. It is proved that a bounded perturbation of an automorphism on a complete barrelled locally convex, space with the SCBS is stable up to a Banach subspace. New examples are given, and the relation of the SCBS with the quasinormability is analyzed. It is proved that the Frechet space l(p+) does not satisfy the SCBS, therefore this property is not inherited by subspaces or separated quotients.Article Citation - WoS: 3Alternative Approaches To the Spectral Quantitative Resolution of Two-Component Mixture by Wavelet Families(Soc Chilena Quimica, 2009) Dinc, Erdal; Baleanu, Dumitru; Arslan, Fahrettin; Baleanu, Dumitru; MatematikA new spectral continuous wavelet transform (CWT) methods are proposed for the quantitative analysis of the binary mixtures. The simultaneous spectral resolution of binary mixtures and tablets containing paracetamol (PAR) and chloroxozone (CHL) with overlapping absorption spectra is performed by six wavelet families with no chemical separation procedure. The calibration graphs for the six wavelet families are obtained by the help of the data collected from the CWT-signal amplitudes corresponding to the zero crossing points in the spectral range of 210 nm-310 nm. The validation of each wavelet family is carried out by analyzing various synthetic binary mixtures of the above mentioned drugs. The second derivative spectrophotometry (D2) is used to compare the experimental results provided by the analyzed continuous wavelet families and a good coincidence is reported for the proposed analytical approaches.Article On the composition of the distributions x(+)(-r) and x(+)(mu)(2005) Fisher, B.; Taş, KenanLet F be a distirbution and let f be a locally summable function. The distribution F (f) is defined as the neutrix limit of the sequence {F-n(f)}, where F-n(x) = F(x) (*) delta(n)(x) and {delta(n)(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta function delta(x). The distribution (x(+)(mu))(-r)(+) and (1 x 1(mu))(-r)(+) are evaluated for mu > 0, r = 1, 2,..., and k mu not equal 1, 2,....Article Citation - WoS: 2Citation - Scopus: 2The Hamilton-Jacobi Treatment of Front-Form Schwinger Model(World Scientific Publ Co Pte Ltd, 2002) Gulerz, Yurdahan; Baleanu, Dumitru; Güler, YurdahanThe Hamilton-Jacobi formalism was applied to quantize the front-form Schwinger model. The importance of the surface term is discussed in detail. The BRST-anti-BRST symmetry was analyzed within Hamilton-Jacobi formalism.Article Coset Algebras of the Maxwell-Einstein Supergravities(Tubitak Scientific & Technological Research Council Turkey, 2006) Yılmaz, Nejat TevfikThe general structure of the scalar cosets of the Maxwell-Einstein supergravities is given. Following an introduction of the non-linear coset formalism of the supergravity theories a comparison of the coset algebras of the Maxwell-Einstein supergravities in various dimensions is discussed.Article On the composition of the distributions x(+)(-r) and x(+)(mu)(Indian Nat Sci Acad, 2005) Fisher, Brian; Taş, Kenan; Takaci, A.Let F be a distirbution and let f be a locally summable function. The distribution F (f) is defined as the neutrix limit of the sequence {F-n(f)}, where F-n(x) = F(x) (*) delta(n)(x) and {delta(n)(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta function delta(x). The distribution (x(+)(mu))(-r)(+) and (1 x 1(mu))(-r)(+) are evaluated for mu > 0, r = 1, 2,..., and k mu not equal 1, 2,....Article Citation - WoS: 1Citation - Scopus: 1Hamilton-Jacobi Quantization of Systems With Time-Dependent Constraints(Kluwer Academic/plenum Publ, 2002) Baleanu, D; Güler, YHamilton-Jacobi formalism is used to investigate time-dependent constraint systems. It is proved that the generalization of Dirac's canonical quantization method in the nonstationary case can be obtained naturally in Hamilton-Jacobi formalism. The example of the relativistic particle in a plane wave is analyzed in detail.Article Citation - WoS: 6Citation - Scopus: 4Symmetries of the Dual Metrics(World Scientific Publ Co Pte Ltd, 2002) Baleanu, DIn this paper the symmetries of the dual manifold are investigated. We found the conditions when the manifold and its dual admit the same Killing vectors and Killing-Yano tensors. The dual conformal Killing vectors and dual conformal Killing-Yano tensors were investigated. In the case of an Einstein's metric g(munu) the corresponding equations for its dual were found. The examples of Kerr-Newman geometry and the separable coordinates in 1 + 1 dimensions axe analyzed in details.